{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be9ac913",
   "metadata": {},
   "source": [
    "# **<font size=4 color=#BB3D00 face=微软雅黑>信号平滑处理</font>**\n",
    "测量的信号可能显示数据中非固有的整体模式，这些趋势有时会妨碍数据分析，因此必须进行去趋势。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9785fe8b",
   "metadata": {},
   "source": [
    "## <font size=3  face=微软雅黑>**※Matlab案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c07a2c82",
   "metadata": {},
   "source": [
    "网址：https://ww2.mathworks.cn/help/signal/ug/remove-trends-from-data.html    \n",
    "描述：本案例由1个示例构成。\n",
    "### - <font color=DarkOrChid size=3>示例1：以具有不同趋势的两种心电图 (ECG) 信号为例，对去趋势进行演示</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b652b1a1",
   "metadata": {},
   "source": [
    "## <font size=3 face=微软雅黑>**※Python案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97d52bd2",
   "metadata": {},
   "source": [
    "针对以上案例，采用Python语言实现。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33ec9c21",
   "metadata": {},
   "source": [
    "### - <font color=DarkOrChid size=3>示例1：以具有不同趋势的两种心电图 (ECG) 信号为例，对去趋势进行演示</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "25ce0c31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Voltage (mV)')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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hD3zL3A17+e8Pa1FKcfA9X3PYpO8aTOZQtIsmAZ74dhUAHp+P1lnOtE7csVpC//52NfeecVDC5/BbtbmZjkB3tsztIceVfrddaAmLP786N2FXjdUF6HfRNKRF+s/Pl/PiT+tqrZ+2sohpK4v4+/EHUOXxct7IHvQwQ4GTgSL8S35PmZvOrbLiPs/8TXsZ0q1VQ4nF279sxOuDC0b3YGdJ7Gd7yF1fAzC0e2tevXQUG3aXc8q/fwxsf/eKMRzSow0nPDqNNUVlZDhsuD0+zn7mZwD2m0EI+yuqefuXjZw7skeDfRc/2oJPAOsEDBkOW1pPwP1/X60ILNc1lM6v4HNcdtrlGI7kPWlas/vC/86q9zn8M15lmJm/AEUltS3uuhJOuVt5dMpKnv5+DX/635wGu2Y4fv/C7MByjsWPfeF/Z8V9fyil2LSngn4dcuPav6Symjs+Xhw18u3m9xdx64eLABh1/7dxnRcMa/73L84OUu4A5zw7g08Xbg309EPr5Pz7u9WB5Ue/WRX39RJBK/gEOH+U8YYd07td4G2crvz3x+jKIB6KK6vNNHI7OS7Tgk/Dafve/mVjwBqzsnVfYjHe/h6i0y4UFhgW9Lrd9XMDfrd8B+VuT1iLtCA3I8wRhjJMJsu3lwSW37z80MDy2qIyjrIMvkYjMB4WZ2G2/0xby/9mbOB/M9bzy/o9jLjvG/ZXVLO/oprTnvwxyKViXY6XeRv3hV1/zVvzEz5XQ6IVfAJUuD30bJeNiGAXYeOe8sYWKWXUZeBwyZYav26GOciajtmsN7+/KOx6q4WWCCJCx7xMoH4W/KodJfzx5Tn87c15YS3Sf5wyMOxxW5PoevxueXCS0JBurXnLouRDK47uLXPzys/ra+VieCxZ0n4mDO5sbAtzjz05dbV5nOK+ycvYVepm3sa93PXJEhZu3s9jU2os6OMenhZWdodNePeKMdxXB3dlLJL1UtUKPgGKKz2BSZE/MAdzrINr6cC9ny2lcOLkWuvf/mVTwuf6cfWuQC/H4Y+iSeIg6/ZGGBPZEmKljyxsE1h+c/bGhM41srANY3q3A8BmEyP7N84XYoXbG3gZ7CypxO3xBcIupyzbGfaY0w7uwpTrjop4zj1lbgonTqZw4uSgqRfrwx9fru3+Gdajddh9qzxern5zHnd+soQ+t34etK3aY9xHDouCH2z640Ndp49+szKw/NJP61mwaR8Al7z0S2BQ9tMFW4nECDPO/tDe7RhZ2JbfHdoz4r51pSxJIdctSsEv2LSvXtmnW/ZW0DrL6Nb6JxhItxrnL0RwzXwS5QGIB6fdiHSoS/c3Hu79bCmHPvAtU5eHV2bJojrETecfHPWTSCZqWZU3aAA6w2GLOZH0D6uKmLJ0B2c/8zMj75+Cz6cYdf+3HHD7F1z3Tu0IEH8dpX+dPRgRoW+H3KAKqVaG3/tNYPnG9xZGVYLxEPpdRplhoaFtdssHC9ldWkX/27/kx9W7Aut/tizX1Dmqyanw9xL9RkVltZfCiZN5/Nsa63xXmCiiWDx67lDe+NNonrpweMLHNjYtRsGf8Mg0Tn/qJ65/d36dz7F1XwV9zUGdEwd1BNJn0g+fT3HlG79G3P7zmt2Uuz0s2bo/LndN6D52M0zSOkdrfZm/aR+FEydz+KTvAi+mP7z8C//+dlXSUvxDufG9YCV6dP/gWcleiZChOW/j3lrWuRFhVKPsnHZb1B5PZbWXi16YzWX/mxOoQvnF4ujhmR/99XA+veqIoIgNfy11K6G9uOkri7j6zXmUuz0s3Wpc6+sl21lbVBrzJQRGHafLXgm23t/40+jAcpZFhjdnb+KQ+6bUOscFloFsv6FmddH4/fF+Be+PVqkv3dtmc1ifAlplOQPr/C+npk6LUfCrdhqW4+eLtvNNHYsFub0+XE6jybLN0f90yWbdXeZm8sJtUfcZeMdXTHjiR+4xSxhEI1QxJWNA+iOzex3qJnn4m5W8Pqvhi2j1umUyl778S9C6X9YHlya49IheQZ/v/nQpny7YGhTjvXjLfs58+ucgvy9AWVVwCKnTHj5Sa2dJJSu2lwTC9KxEe0kDtMnJCLgy/ORbFFcsBt7xFSc/8QOfL9rG5a/O5diHp3Hy4z9w64eLePmndbV+Cz93frKYaStr5lz+9R8nBLlX7HFmN68wB2hvMOPTrZmrGSEVJZdsTV5s/ztXjOHs4d3qdY4zh3VtIGki02IUvJV35yTuT1ZKGbWnzZvSb/WkSzarhHm+nHYJO6D00k/rYypsf8/mpnH9gdSXcfUPFH61ZDsPfrk8aNuO4so6VTFUCr5dvpNHvjZCSGeu3R20/cpj+gSSbqxc/ea8oLBTf/7Esm3BCqisykuuRcHvKq0K1KexMvbBqZz02PSEw3R7Rohtf+g3Q7gs5MUUi7++XvMiWbWzlDdmbeSuT5dy+KTvarXth/M289rM4O/hDwP10yrOl8xJj01n6oqdgZBl6+CrP/u3ocKX599xAj/efEzE7UPNsYOTBnVkwuDOvP+Xw5hy3VHcd8ZBPB3FnTNhSGdeu3Q0j547lFX3j28QWSORfhknYVi5oyTo868b9/LRvC2ckcAb1OtTKFXj58vOMJoumRMM/LxmF4Iwpk+7pF3DTziXxod/PZyDurYKmqbQz0s/rePPR/XB7fHx9dLtbNlbwZ+P6hPY/t8f1gLw6YJt/PXovoGCUAd3b11vWaetLKJTfmZQXkIoz3y/BpfDFrCSbxo3ILBt9D+NiJL1kyZQWe3Fabexs6SSt2Zv4i9H9yHTaWdXaRX3fLqUB84aXCsx64nvVvPNsp1BCvrf5w/j1CgTP2/dV8mCTfsoyHMFlNKuMjden8JuE7w+RUW1N9AzDMdnC7fSKT+Tyjpmt0aq9dIxP5PbTxnYIKGxAF8s2s4fj+jFU1NX89rMDQzv0SZo++d/O7LWMW/8aTRHPfR9XOf/w0s1vSjrBOWhPviurbMi9ihiMbKwDa2zM2idHT6UFOCCUT3Iz3Rw6pAuQfWV+kaJzX/jstEc1rcg8Nlpt3HVMX0ZZFaobWjSXsErpTjx0elB63aVurn27fkJKXi3JcsQkuui8foU909eFkhMqWvxqkTYGRKO96+zB3NQ18hZgg98sZyLDytkwD++DKyzKnh/qeDubYzMxEynnd7tcwKf4+GLRdv4y+u/8uPNx9CtjWF9/rpxLxe/ODvGkQahLpBQBt/5FSVVHs4b2Z11u8qYtW4Pj3+7itX3j+exKSv5ZMFWRvZqy0Vhoiasyn1kYZsg5R4uR2Lyom1MXrQNm8BTFxjW3QKz1slvR3YP9AStFvzIwjZBboar3pgX1/eOhDXCJxzvXTGG3zw7o17XALjns6XcO3kp/mGYyYuCXX/+SDQrPdvlMOOWYxnzQGJp+1bFGuqD79E2O6Dgf3NIN94z68pcPKYnr8wIduEtvvskqqq9/P2dBUxfWUSPtjkxr223CacPjaxDFt99EpXVXjxeRadWmRH3u+Gk/jGvVVfS3kUTLbwvEevbf9P4B3WynMlT8Jv2lAdlHQ6566ukJ59Ys/DyMx1Bg3CPnzc07DFW5Q6wbldZYEKEnuakKHefPiiw3eWwB1mfM9fuZm2YqJrKai+fLNjKX0w3wIX/ncW6XUbCjzXkLZRnonSLy6o8vDtnU1CNGH8xtLd+2USZxdV2xtM/BRRraaWHa96ax1lPRy7Q9dsR3YM+f/63IxjYObxF5lOweW+NVfnFYkP5FZvRWP6eIcCATvkBt0OirLp/PLNvO447ThnIF9ccyar7xzOkW+uox4wobFvLVXL1sX3rdP1o4/DhFDxA51ZZrHvg5KB1P088Nup1rPKG+uCt4x4P/WYI315/FM/+7hAuNw0Rfxbsg2cPIdfloF2ui1f+MJJXLx3FnaeFzxFIhFyXg4JcV1TlnmzS3oIPtR6snPHUT3x57di4zuNPu88zLSx/bZWGctHM37SPTXvK6domi3P/E2xFFVd6eH3WRq6wWMjJJLRbevrQrpw+tGvY+Hgrx/zf9wD8b+YGjuhruJXyMmsewEynLeihO+85oyLf+kkTmLp8J7tKqzhhYEeG3lMTngewYXc5x/zf9/xw0zHsjZB38OzvhjPuoM4RZRt051dRZV9sScqyLv8rxH8fjlBd1rdDHp9fc2TE9vJPHAEwdUURczfsDYSP9reELOa4HHXK/D2mf3ucdhsd8jL5Y4K+dV+IZh7UpRWL7z6JkspqOuRl1opHrwu5UWoRiQjrHjiZxVuKGdytVWBOgVBOGNiRb5bu4NQhNT2noBLL1Cj6M4d1RUTo0z6XPu0NpX7/mQdxwsCOdMgLVr4iwpH9giOhmjNpb8FHU8DWlOlY+ItJtco2FFZDu2jOeOonrn5zHmc9/XPY0LhJXyyv9xRu63eVhT1HqP890xn+tsg2p96LhVATRWPdP9KMO8WV1fzh5V+48b2F3PNp5AidIx+cGqR8rURT7k2ds5/5md2lxovL6ovNybDj9vpiDmhfclghz/7O6L047cJj5w6rsywPnj0EgKMOaE/7PBeje7Ul1+Wgc6ss7DZh/aQJvHHZ6Bhniczq+8cHRc+EQ0QCkT75mU7++/sRtfZZtq2YgZ3zg1w0NYOsxjNZ5fExYXBnHj13aK3jLxzds5ZyT0fS2oL3+VRQqvf5o7rz5uzEI2igpvJba7NLmOloGAWvlKLXLfFZReVVnqjWj1KKcrc3YrXGo00L22kX5v7jBL5YtI3fjujOSz+vD9ovXFw0wJK7T2LFjhLGPfZDTFmtpZX9uBz2QOav9aViDff7oA7lXgtyG3hGjESJ4I54+/JDOfe5+OqGV7g9iBDkksk2f8cKtzeo5srtEw7kvsk1vYBrj+9H6+yMBhmrGT+4c8zzHNa3gCuO6sMHv26uNXYTi1jKPRzHDuhA97ZZXHJYLzKdNm77cDGb91YwomewgraWWN5ZXMnqnaWB57WlktYW/PM/rGX97pp6Mb8d0Z3Prj4iaJ/QCXQjhc+9Y4ZW+i14m01oleWkKI6yogB3f7qE//tqBXvL3Lzw4zou/98cFm/Zz5MJ1CuJlc789PdrGHTnVzHLJ1R7FUPu+pqb319Er1s+D0zN5yfTEV7Bi0ggUiEaPqXweBU2CY5vzrRMyFDagOGlhZbwv1m3Hkeb7NQ+1JFmqBrdO/7opzK3lyynPSjMMsdSYtnKgE75rJ80gd7tjXGOSC/kZDJx/ABm33Y8X1xzZKC9s8LIcZKZEDiwc34gkipRbDbhh5uO5dIjenFM/w6B9aEzKlnDJP2Z13M21H0KxXQgrS34B74I9p9mZzhqJVRc9r85gRjgEYVtueK1uQD84fBCPF7FgZ3zuWB0D+aaN4o/mgOMkL/5m/YHPr83dzM3vLuAJ84fFihl8POaXawtKuOln9YH9vHPh/l1gglX170zn3kb93HryQPoXZBL7/Y57C13c0jPtmzYXRaImT7h0elMGNyZu04bxModJRTkunh22pq4rpHhsPHQOUMibi9sl8P1JxzA+t3lfLpwKyvvG1/L1+z2+CiprCY08tIYZDVeUqUNUOIhw0wE+tPY3oF1HfMzeeGSkZz1dMNkMUZjSLdWtM3JCPzW4Zhy3VhOfHR6rbZYds84DryjZpB65Y6SWgrSb8GXVXmCMoMPM8NmX7t0NLPX7WkUBe/nwM75PH7eMC5+aTZv/Gk0Zz79MxOGdGbywm2cOaxrWPdIfWgXoQImEOi57q+oDuo5tmTSVsFvCFNm1WEXehfk8Jej+/DM9zUKzx//a40D9itkgGMGtKdvh1za5mQEuUjaZjtZt6smCsSfXfe3N+exeMt+zhrelQueD64Tnshkx4+fNzSo3Ki/JKl/Dks/r106OjAfKBgVCF/+eT0vh7he4uGJ84YGImDCYbMJVx/XD4CHf2vMhRkuLDA0DA1CLPg4xxMK22UH9cKsrIyQJNKjbeKTVXx85eGcHsdUdtbv+slVR8TY2xhwXfvAhKCX4OK7TyIrw87R/dvz/Qoju7PK46ulqHP9JZbd3qB5cf09hi6tsxIK9U0WYw9oz7oHDLfO+kkTKKmspn2uK5Dk1pBY69b8sGpX0LYOeS6ynHY27i6nX8fcgGwtmbR9zYVLmmibnYGIcPO4AXRJIHTJ61OBhBQrGQ5boKpdKM9NXxuXrzoSt4w3rPR4sCr3+jK6V+JJVeeNrAkTzHTaIiYguRw1s95bpzmzNuuU64Kjml76wyj6tK/9wolWstUeLi03BuESsM4f1YMp1x3FgjtOBODwvu1Yed94HvrNEP519uCEzj9hcGfaZDtZP2lCwEi4xnxRAsxet6dWUo4/ZLK8ypPUtPuGJi/TyV2nDQoK+WxI/nxU77DrRYT8LAelVZ6AP/7OU+sf7ticSVsL3srTFw5nRM82tLGkR984rj9/fzv8fIuhVFb7qPb6cNqC34fWWZ3qU6UylGd/N5wTBnbCbtafbpuTEbFGdUNySEgbxcttEw7kf6bFHi3LMtNZM+u9tUib3zi9fcKB9O2Qx3MXHcLlr87lnEO60asghynXHcW3y3byp1fnoBR8dOXhDE0gI3bsAe3JczlYtq2YtbvKOH1oFwZ3bcWCzfv5dMFWWps+5Fm3Hsf+imr2lLk577mZHNytVSAr0TrweE5I3Hs8hKtEOKxHGx78zRBuem9h2GNyTAVZ5vZSZFZBzEvD6Q4TpaeZhPSXo2uHDee6HJRUegL3YbTM4JZAWt0t5W4Pr8/cyKcLg8uanjy4dgjdmcO6MbKwLUf8K/YMMpXVXvaWVdfy/znttkC52Ln1HMx59dJRHNq7HbtKq4LmpRyZwqp1dZnUAwzL/PKxvemUnxlUiOyC0cFzTLbLdVHu9lJcWR30Qrzz1IHc/elSDjUHJU8c1ClIoYoIxw/syC+3Hc8Hv27m4BjzcGabro3fj+nJgs37uf+Mg+jeNpszTBfM5WN7M6hLK75esp1PF2zllT+MAgz/fcd8o2f33fVH0asgdjZjfbEmPYXi/x7lbg9tzNyExyIknbUkzh/VnY75Lo4K437Jy3RSUuUJGBLhBn5bEmml4O/8eAnvmunI8ZDnii/a4qfVu1ixowRCxkQzHDaqTAs+dEQ/Ufq0z8VptyU06XAiWP29oUz+2xFMeOLHhJNirNx68oEArC4qDQz2htbX6Nra+G479lcGwku//vtYDuiYx0WH9owZQleQ6+LysbGTvVwOeyAj0hqV8uQFw3ht5kYO7GTIdeKgTiy668SgZCw/vdvH5x6rL9awyOtOOCBom9+CL63yBPzz/hdQS0ZEOO7AjmG35WU6KKmsDvQQG3MAuimQVj74TXtrD8a9eEntJAk/+Vnxvd9Co3H8ZNiNCRmUUlSFSagKtWDviuIP7BTjwQ1XoCkc8+84IajYUZdWmax74GT+ccpALjmskA/+eljQ/n075DKoSyvWT5rAKUMiR4PEizVkMbR77LdC95bXPIB+C6su8dHREJFalR27tclm4vgBQWGN4ZR7KrHmA4QWqfK3TWW1LzAZdaQkNI1B6+wMtu+vDLho6lrqIV1Iq28fLuPv2AHh3/RgKIHV94/n8fOGBpXL/Xnisfx48zH8eWz4wRw/GXYbShnzPIaLUffHk98yfgDPXDiciw8r5JxDunFQV8OCPGVIjesoUiy1n4Fd8lly90lMv/EYXr10VK16Hr/+4wTWT5pA6+wMbjSLF504sCPTbzomkKZ912mDGN6jDS//YWTguGhTttUFq5cndJAtN7Mm7M/vomnpPtJBXWt6OaGD+P65ByqrvWwwI4kKo0Q4aYz6Mtv2V1Ja6cHlsIUt39ySSAsXjc+nuObt+fwaMrP5uXEMhjnsNk4f2pUj+7UPTFHWxXQlnDGsK/+Zvjbisf7KktVeX6BoVutsJ4+eO5SlW4vJNxVaYUEOJw3qBMBD5xxMWZWHG99bwD9OGcjtEwaGrcUejhyXgxyXgx7tsnn6wuE88e0qikqqWL+7PGjqsuMGdOCPh/fi8rG9w1rGR/fvwIuXjAiaFLuhsFqhoS8hV6AYlDfgoklWpEVzIZoBYigoqKr2UuH20CrL2eA9nXTD/8ztKK6MmvXdUkhqC4jIOOBxwA78Vyk1KRnXeeK7VWHni3TY4397t83J4KVLRrKvoiYLNLRH8O/zg2t8WOtP+8P/5tx2PA67jWP6d8DnU/TtkFernnuOy8HTFx4St2zhOLJfe47s156t+yr4YVVRkKvBYbdxR4zwsGMHdIyqXOqK1TeaH+L+yLS4HCrM7MyW3oUGaJ/noqikqlYFRhHB5bBR6fFRbma6aqKTa95z24srI5bsaEkk7ekSETvwFDAeGAicLyJJCUqNVPc70Wy2YwZ04MxhNdNw+ZMl/HQLqWX+8xoj0eLln9dT7fUhIan5NlvyJ+vo0jorqLRvUyKaBV9RbSisWK6plsBwc2agcEVtMp1G9m95jMlANAb+MYqV20sC4a8tmWSaT6OA1UqptUopN/AWcHoSr1eLjHpah9kZjqCQvNBImTVFRrbs6p2lVHsVTpv2+VkJHcB0Wep1l7u1wvJz40n9GdajNYdbZvrxk2mWd9hfXq0VVhz4e9UlVR49XkFyFXxXwFq6cbO5rkEJN6P7u1eMAQgbJ5so1trQ2c5gi7S3GSfduVUmHq8vIZdQSyDUgq9x0Xgpq/LUO7Q0XejbIY8P/3p42IgeIznMiKIJncdUUxurUVdfAy8dSGYLhNN2tfqgInK5iMwRkTlFReHjtKPhtNs4/sAOQetGFrZlxX3jwlpEifJ3S2xyZkZwc11/ohGtMqRba35aszspszs1Z0JdZC5LOdcNe8rp3ibxmjEtDb+LZm+5OxBmqomMVak7tcGV1EHWzYA1jKUbUGskVCn1HPAcwIgRI+qUSvnYecPYsreCkx6rmXvVFaHkbaJYfeqhg1x+f5/Xp4Lm6GzpTLluLNv3164T7rDbsNuEKo+PCre38eu4NwNyXA7K3B72lru1iyYOrM+9riiZXAv+F6CfiPQSkQzgPOCTZFwo1+UImuosWYRmxTlsNQpeU0PfDnkc0S987ynTYdSjqfb64qot39Jpk53B7lI3ldW+Fh9SGg8FlnIiWsEn0YJXSnlE5CrgK4wwyReVUkuSdT2AD/56GHvLok92UR9Cbxh/7TGvT1GQ66JtjrawYpHptFNR7aXaq7SPNA7a5WQwa91uoP7lMFoC1lIOWsEnOQ5eKfU5UP9ZeuNkeI+6zRhTV/zuG69S5GU66N8pP8YRmtxMB2VVHtwen/aRxkG73AxKzMlRMvULMSbWXqHOG0izUgXJ4qzh4YN//Ap+Z3EVbo92OcSDv5xrtdenLaw4sEbOaAs+Nta8ip7t9CC+fsLi4JHfDg07EbF/YolHp6w0fMoObZHGIi/TQUmVB7dW8HFhLVHd0isjJooelNYKvl44LBOA7CuvJr+Fz+AeD7kuJ8UV1ZRVeXStkDhom1MTaaQVfGK00s+jVvD1wW7xIbu9Pp05Fwf5mQ62F1fiU/oBjId2VheNVvAJoe8vreDrRagFqi3S2GRm2NlXXg3EX4+/JWMt56At+MTQCl4r+HozziwDDFrBx4PVCtUPYGysse/agk8M7TLVCr7eWOvP5GZqBR8L64xEoeWENbXJCrLg9eOaCHoQP00m/GhMrDdRjs40jEmmJZVcW1ix0S6axJl01mCmrUy8rlU6ojVSPbHWqtEumtgU5NVEhWgXTWysBoRW8PFx3qgenDeqac6RkGp0H6aeWLMxc1z6AYyFddKU0AlUNNHRiU6aRNEKvp5kWWrE6ynCYmPNzNSToySGLlWgSRR9x9QTa4ExPb9obPJc2i1TV/SE25pE0XdMPfH73XNdDm2RxkHopCkajSZ56KetnrjMgS89ABYfOpZbo0kdWsHXE38FSaX0pB/xoF+EiaPr5mvqih4VrCfbiysB2J3EiUbSCZ18kjhzbj8eVXtueY0mJlrB15MlW/c3tgiaNEdn/Grqijan6smlR/RqbBE0Go0mLFrB15MebXWJYI1G0zTRLpp64rDp0MhE+eKaI3WZAo0mBWgFX0/seuLohDmws56cXKNJBdpFU0+cNt2EGo2maaK1Uz2xaxeNRqNpomgFX0+0D16j0TRVtIKvJzZTwfcq0NE0Go2maaEHWRuAN/40mn4d8hpbDI1GowlCK/gG4LA+BY0tgkaj0dRCu2g0Go0mTdEKXqPRaNIUaUplbkWkCNhQx8MLgF0NKE5DoeVKDC1XYmi5EiMd5eqplGofbkOTUvD1QUTmKKVGNLYcoWi5EkPLlRharsRoaXJpF41Go9GkKVrBazQaTZqSTgr+ucYWIAJarsTQciWGlisxWpRcaeOD12g0Gk0w6WTBazQajcaCVvAajUaTpjR7BS8i40RkhYisFpGJKb52dxGZKiLLRGSJiFxjrr9LRLaIyHzz72TLMbeYsq4QkZOSKNt6EVlkXn+Oua6tiHwjIqvM/21SKZeI9Le0yXwRKRaRaxujvUTkRRHZKSKLLesSbh8ROcRs59Ui8oSI1Ku8aAS5HhKR5SKyUEQ+FJHW5vpCEamwtNuzyZIrimwJ/3YparO3LTKtF5H55vqUtFkU3ZDae0wp1Wz/ADuwBugNZAALgIEpvH5nYLi5nAesBAYCdwE3hNl/oCmjC+hlym5PkmzrgYKQdQ8CE83licC/Ui1XyG+3HejZGO0FjAWGA4vr0z7AbGAMIMAXwPgkyHUi4DCX/2WRq9C6X8h5GlSuKLIl/Nulos1Ctj8M3JHKNiOybkjpPdbcLfhRwGql1FqllBt4Czg9VRdXSm1TSv1qLpcAy4CuUQ45HXhLKVWllFoHrMb4DqnidOAVc/kV4IxGlOs4YI1SKlrmctLkUkpNB/aEuV7c7SMinYF8pdQMZTyJ/7Mc02ByKaW+Vkp5zI8zgW7RzpEMuSLJFoVGbTM/prX7W+DNaOdoaLmi6IaU3mPNXcF3BTZZPm8muoJNGiJSCAwDZpmrrjK71C9aumGplFcBX4vIXBG53FzXUSm1DYwbEOjQCHL5OY/gh66x2wsSb5+u5nKq5AP4I4YV56eXiMwTkWkicqS5LtVyJfLbpVq2I4EdSqlVlnUpbbMQ3ZDSe6y5K/hwvqiUx32KSC7wPnCtUqoYeAboAwwFtmF0ESG18h6ulBoOjAeuFJGxUfZNaTuKSAZwGvCuuaoptFc0IsmR6na7DfAAr5urtgE9lFLDgOuAN0QkP8VyJfrbpfo3PZ9gQyKlbRZGN0TcNcL16yVXc1fwm4Huls/dgK2pFEBEnBg/4OtKqQ8AlFI7lFJepZQPeJ4at0LK5FVKbTX/7wQ+NGXYYXb5/F3SnamWy2Q88KtSaocpY6O3l0mi7bOZYHdJ0uQTkYuBU4ALza46Znd+t7k8F8Nve0Aq5arDb5fKNnMAZwFvW+RNWZuF0w2k+B5r7gr+F6CfiPQyrcLzgE9SdXHTv/cCsEwp9YhlfWfLbmcC/tH9T4DzRMQlIr2AfhgDKA0tV46I5PmXMQbpFpvXv9jc7WLg41TKZSHIqmrs9rKQUPuYXewSETnUvBd+bzmmwRCRccDNwGlKqXLL+vYiYjeXe5tyrU2VXOZ1E/rtUikbcDywXCkVcHGkqs0i6QZSfY/VdZS4qfwBJ2OMUK8BbkvxtY/A6C4tBOabfycDrwKLzPWfAJ0tx9xmyrqCBohsiCBXb4wR+QXAEn+7AO2Ab4FV5v+2qZTLvE42sBtoZVmX8vbCeMFsA6oxrKRL69I+wAgMpbYGeBIzO7yB5VqN4Z/132PPmvuebf6+C4BfgVOTJVcU2RL+7VLRZub6l4ErQvZNSZsRWTek9B7TpQo0Go0mTWnuLhqNRqPRREAreI1Go0lTtILXaDSaNMXR2AJYKSgoUIWFhY0thkaj0TQb5s6du0tFmJO1SSn4wsJC5syZ09hiaDQaTbNBRCKW+9AuGo1Go0lTtILXJJ195W62769sbDE0mhaHVvCapHPkg1M59IFvG1sMjabFoRW8JumUVHpi76TRaBocreA1KUNnTWs0qUUreE1SsSr1impvI0qi0bQ8tILXJJXVO0sDy/srqhtREo2m5aEVvCZlaAWv0aQWreA1SaXK4wss68FWjSa1aAWvSSpWBV+sLXiNJqVoBa9JKlWemoHV4kqt4DWaVKIVvCaplFXVKPj95VrBazSpRCv4OjDgH1/wwBfLGluMZsHecndguVj74DWalKIVfB2orPbxn2lrG1uMZoG1Bo32wWs0qUUr+ATx+nQ2ZiI88s1KADrmu7QPXqNJMVrBJ0ilzsasE62ynBRXaBeNpuFxe3ws3rK/scVoksSt4EUkR0TsyRSmOaDT7RPntIO7kJ/p1Ba8Jik8/PUKTvn3j6wtKo29cwsjooIXEZuIXCAik0VkJ7Ac2CYiS0TkIRHplzoxmw7agk8Ml8NGp1aZ5GdpBa9JDrPW7QFg6z4950Ao0Sz4qUAf4Bagk1Kqu1KqA3AkMBOYJCK/S4GMTYrKal/snTSAUWjM7fWRYbeRn+nQLhpNUhAx/uvedW2izcl6vFKqlsmllNoDvA+8LyLOSAeLyIvAKcBOpdRB9Za0iaAt+Pjx+BRKQYbDRrbLQVmVVvCahsduanit4GsTzYL/0HTR5ETaIdwLwMLLwLi6CtZUsSr4dI+oWberjOen1z0c1N9WmU4bTpvgSfP2aiiqvT7mb9rX2GI0G2w2Q8GXawOiFtEU/PPAqcA6EXlbRM4QkYx4T6yUmg7sqa+ATQ2rlVDuTu8b6tz/zOD+z5fV+XuWmg9cXqYTh92W9i/EhqLfbV9wxlM/sX5XWWOL0ixolWU4EjbuKW9kSZoeERW8UupjpdT5QE/gA+BiYKOIvCgiJ6RKwKaG1Qdf7k7vLqE/C7Wulnepmbma63LgsAnVXj1+kQiVnvS+vxqKb5buAGB7sR5kDSVmmKRSqkIp9bZS6kzgRGAY8GVDCSAil4vIHBGZU1RU1FCnTRrBFnx6P4DVXkOxV3vqppj99d9zMx047KIt+ATx6fdhQuwtc8feqYURU8GLSEcRuVpEfgI+Ar4GDmkoAZRSzymlRiilRrRv376hTps0KluQi8bPF4u31+m4Wz9cBBihknabzRx01Uo+Xty6xxMXGXZDjVXV0RBJZ6LFwf9JRL4DfgUOAG5SSvVWSt2slJqfKgGbGht31/j5KtLYgv9qSY1Sv/2jxXU6x8odRuJJptOO0xwI01Z8/Li1worJvnJ34EWo26s20Sz4w4BJQHel1NVKqZ8SObGIvAnMAPqLyGYRubQecjYZdlj8fOnsovnzq3PrfY7fHdoDgOE92mC3GwpeR9LET5X2wcfkitdq7lPd46lNxDh4pdQf/MsiMgQotO6vlPog2onNAdq0Y5+lImI6KnivTzWYJeTxKjrmuwBw2gxbwu31kels8RUv4kJbpLGZudYI1MvJsOv2CkO0RCcgkLA0BFgC+FtQYUTWtDj2l1fTuVUm2/ZXpqUPfuL7C3l37uZa62ev28OoXm0TOldFtZcsU5m3yTEibPeUusnPjJgf1+Kx3lPapxw/bXIytIIPQ0wFDxyqlBqYdEmaCXvL3XRtncW2/ZVpmZkZTrkD3D95KR9fdURC5/p4/tbAcrtcQ8HvLnNTWBAxd67F88rPGwLLWmHFT9ucDHaX6iiaUOKpJjlDRLSCBzxeHxv3lNO/Ux4AJWmk4CurvRROnBxx+4LN+1FK8fH8LYHwx0RwOUwXjVZaUcnNrLG5tA8+flpnZ+geTxjiUfCvYCj5FSKyUEQWicjCZAvWFNm0t4Iqj4+Du7fGJqSVBV8SYTq9R889OLDc65bPueat+Rx899cxzxcaDulX8LvLquohZfqTH6TgtcKKl1ZZTtz6hViLeBT8i8BFGHVlTsUoIHZqMoVqqvgVen6mkxyXI2hC6eaOInx0y5nDutXpfKHhkA5zkPWqN+bV6XwtBWsPRxe2i5/2uS4dRROGeBT8RqXUJ0qpdUqpDf6/pEvWBPHfQC6njVZZTopK08caDRef/vGVh0fc//hHpgFGLkC4iRYqTUU1cfwAQFuj8WJVUs98v6YRJWke9O+Yx7hBncjOsFNZ7dOJdCHEM8i6XETeAD4FAhotVphkOuK3rlx2G70KcticRsWNQnsjvzu0Bwd3bx1x/9U7S5m1djfnPjcTgK+uHRsYmwB45vvVAGzdVwHUDLJqomMtC7G3XE+QEosqj5cMhy3gApyzYS8jCxOL9kpn4rHgszAU+4kYrhm/m6bF4VfwGQ4bmU57Wlmlfosc4ICOudx7ek0J/34dcsMe41fuACc9Np1f1u/h80Xb8Hh9LN5SDMAa07rv0944x9nD6+byaSlUptE9lQqqPD5cDhvjDuoEwPb9uuCYlZgWvDXhqaWzeKsxsW+Gw0aGw5ZUn1+F24vdJmQ4GnZe9LIqD0u3FUe1cvp3ykf80+QA31x3FEDUKBuAc56dAcDVx/blsD7tmLayiFtPPjCwvXdBjo4MicHu0ipcDhtj+rRjjy6eFRO3xxcwuCC54xZTlu4gP8vJyMI2Qc9HUyZaLZrbRSSiFhCRY0WkRVny/kHWPu1zcdltSQ35O/COLznpsekNesO6PT4OfeBbznl2BrvM8YMvF29nU4ir6YGzBoc9fv2kCXx2dexY+GXbSgJDtr0sMe8ZDlta9XqSwa5SN+3zXGQk+f5KFwwL3o7LaaiyZPaALvvfHH77nxk83YBjI+f+ZwY3vbegwc4XSjQLfhHwqYhUYhQcKwIygX7AUGAK8M+kSdYE2VXipkOeixyXg017y9m8twKfTwVmlGkoVu4oAYwZlQb8w6jMPOf24ynIddXrvAfc/kVg+bvlO/l22Q6+WrIjaJ9/nz+MXFfk28Iex3d12gWP2bvxR8+AUXTM+sLaW+Ym02knKyN86YIKt5dMpy2itbS2qJRzn5vJbScfyBeLt7Fiewm/O7Qn/TvlcWS/pl+ZNBxFJVUU5LpwJrmHmC64PT5czhoLvioJFvyc9Xv4jdk7BXjpp/VceUzfuI9XSvHZwm30bp/DhCd+5J7TB/Hx/K28ftloZq3bw6x1e3jwNwfHPlEdiDXhx+HAFRhlCuxAMfAaMEop9XelVNMv4N6A7CqtCijZX9bvBWBbA00y4PH6Au6LEx+dXmv7fZ8tjXmOnSWVvDpjPa/P2sDrs4IDnUKjC256b2Et5Q7giKHAu7TOCnIbhYu0cdptgVryTnvN+VwOG1WWCVOG3fsNpz/1IwB7ytxs218R2LajuJID7/iSEx6dHjEy4s5PllBUUsW1b8/nqyU7WL+7nPsmL+OiF2ZH/Q5NmV2lVbTPc+Gy2/QEKTHwV5IsrfSQ6Uiei8aq3MH4jWK5K618tnAbV785L+DCvOPjJczdsDdQThtg+fbihhE2hHh88KuAVUm5ejNjd5k7EA1y92mDuPOTJYFZi+rLBc/PYvb6PXxxzZFht380fyv3nHFQ1Douf397Pj+t3h34PGFwZ8CYherQB76NS47MCNa0n1ZZTlbeN54V20vYur8ibKRNuduL16ew2yTI+s502tlXHuxXXrmjlAWb9nH6U0ax0mE9WjNv477A9tU7S/njy7/wp7G9OaxPAUUlVYx//IeAiykSizbvZ3C3VjG+bcPy1NTVdGuTxelDu9b5HDtLqhjesw0uh41dJe6k9BDThZd/Xg/AqzM3cM/pg7BJw0+8vXjL/rj2q6z2srfcTbscF7PX7eF3L8xiUJd8Xrh4ZKBHHlqc8INftwSW//jSL/x8y3ENJ7hJPGGSacNPq3cxpFsr8upY7Kq0ykOX1plATVRIcWXDhLLNXm9UxRv/+A8R9ymr8gQp+H3lbtweHx3yM7nj48VByh1g6D3fJCzHUXG6Nvp3yguERR7Ssw1zN+wNbKv2+qj2+Wr1BjKdtsCUhx6LdepX7kCQcvczdUURU1cUsX7SBG54d0FM5Q7wzdLtKVXwbo+Ph75agd0mdVbw5W4Pe8qMWkcOm1BR7aWi2ktOFJdZS8Y/nuMwDYkspz1oSs368ptnfmaO5b4OZfGW/fRol01+ppO/vv4r3y3fGbR9ydbiuA2rrUmK/mkxd86eMjcX/ncWRx3Qnlf+OKpO5yit9AT80/lZxv/iOtRlqStjHviO9nkuRvVqy+SF2wLr/3X2YP43o/65Z4f0bFMna9GaXt8+z8W0lUXM27i31oCqy2EPuKGK69DzueWDhbV6AJF44rvVFJW6ufrYvnRpnZXwtRLF/9Lx+hSn/PsHPrs6fE8sGv6cga6tswIRNB6vTtyJhN9d+p+LjAnmQsd46sOK7SVRlTvAKf823ItTrjuqlnJvKjRsDF4T5u1fNgEwa93uGHtGprTKQ67LsKD9lnRdCm9ZUSqxaeyKSqqClDvAze8virB3fFx5TB8AfHXMAvy/cw7mH6cMZOFdJ1JUYii6cArcasHXpd3enL2JBZvDd5mvPrZvreifN2dv5LQnf2TBpn0JXytRpq6oecAXbylmxprE77PNew0F361NVmDsIp0HWn9ctYvnp6+t8/HlZlSbf0A9s54W/K7SqsD9e9JjtcfBImHNIWlqxDMn6wEi8q2ILDY/DxGR25MvWsPyry+XA4Y/2lOHh8bnU5S5PYFqf/7/iRYcq/b6KLUcc/mrc+l1y+e19ju4Wyt6t2+4srpXHtOHs4bVdh2cMqQzlx7RG4CLxxTW6dztcl1cekSvWuMDFx3aM+hzWZWX7cWVKKXq/WIM5boTDuD8UT1qrd9V6g5yAQG8/cvGgAKe9MVyft0Y3VKLxVlP/8RtHwZPa3j+8zMj7B2ZXWa52/Z5LpzmPKPJHGid9MVyfl6zK2nnj8XvXpjF/Z8vS2jA0sq+impyMuyBQX+X00ZlPfIsRtw3hZH3T+H7FdGt8b8ff0Cdr5Fq4rHgnwduAaoBlFILgfOSKVSyOe3JnxK2HMqrvSgFeaaLJifD+F8aZ8GxVTtKeGfOJv725jwOuvMrRtz3DY9+s5JvltaOZAG4/8zBfHf90Uy57ij+ff6wuOX8zSG1M0XfuGw0N5zYn0fOHcr6SROYct3YwLYnLxhO25wM1k+awBlhXgCJckz/Gh9+p1aZQdsmLzJ6Hqt2lgYUvE3gyH4F9brm6F5tYyae7Ct3B9xDN7+/iPOfn8nvX5zNs9PWcNbTP9f52vvLq/k1zLgBwPwEew5++TKd9oCCT4aLpriymskLt/HstDVc8PysBj9/LNweXy2lvnlv4mU/XvhxHWWWgcu1RWW1erexWL+rjMKJk/l0Qc3cBZe89EvQPn0shtbMW47jmuP7JSxrOApyXXHlldSHeBR8tlIqNO6s2dTJLa6s5oIQa2rptmLu/3xZQufxR8v4LfdMpw2bEPesTic8Op2b3lvIF4uNyax3lbp5/NvwwUlTrjuKg7oaA4R9O+Ry6sFd4rrG+IM68X/n1MTTtsl28vPEYzmsb0GQAuzbIY8hSRqAPO7AjpbrB9ef+duxRuywx6soMQenv7x2LAM75wNw87gBrLxvfOA7PHzOwaz558lhex6F7bJZff94Ljq0J4+cOzSw/t7TB4WVa+g939D/9i95dlpNksr0lTVRviWV1Xy5OLpyKKvy1MrEDR1kb5dT850nvp9YVW1/CGmmw47TXz8/CRb8+Md+4Mo3fm3w88bLvora4yhjH5ya1EJh170zn/+Yv/1DXy3nrdkbAXjLdN1a74tQ3v7zGB4/byizbzuultFSF/555mAe+s0QPrnqcA7q2opHfnswH0Up7Fcf4hlk3SUifTCm6UNEfgMk9ppsRO75dCk/R/CHbt5bTrc22XGdp7TKeJD9EQ0iQk5GfCWDd8YZK++fCjBcotGDZw/hpvcXMqBTHtef2J8//W9O0PbZtx1Hhzzj5nvoN0O48b2FvPyHUREHGN/585ikKA9r9mXr7GCXzUhzyr9yt4dys91yXI5A1mum0ygB8ZtDugX1RP5ydB8+mLcl6FxfXjsWh93GvWccFLT+ojGFvDF7E8u2hY8rnvTF8rDrb/lgEZ8t3MaEIZ158vxhzF63h3Ofm8mU68bSt4MRLTTozq8Y1CWfyX+rGUD9xGL5AQzr0YYpy4xe2fLtJWGvFQn/oLTLaSPD9MEnI657y76KoM/+kNbGxKdge3ElnVvFPyCen+lgwpD4jB9/SGL3ttk8NdVQ5hM/qBm7WrI1chx6Qa6rVmTUp1cdwalP/hi0zhUlU/ujKw9nUJd87CK1AhnOSmJ9pngs+CuB/wADRGQLcC3wl6RJ1MBEi7o44l9T4z6Pf0KMPIvyzXbZa/ngH/h8GeMem05RSRWfLNhK4cTJjPpnfKFS0248hm/+PjaslXDGsK6cNKgjj547lBMGdmTqDUcHdR0z7DU/5TkjurN+0oSo1SAznfakzI06qEt+YDlUwWebbq0yt5cys+eT7bTz16P7cP6oHpw3srYPHaBfxzyW3zuOHDNG/5bxA6JO3N06K/Hv9ZnZtZ+8cBvlbi8fm4p71ro9Qfv5FcHqnSU8P30tD321Imj7344LznBct6ssbhn8vYMMu43eZhhupBdVXZi6YidHPvhdrfVb91WktMyutcZOYbsaA2vMA98FuUpiUeXxBaLZAM4abihh/xjbO3M2ccsHCwNx6AB/fb1hei6Du7Xiw78eFvjcp30OC+48kfWTJrDk7pNYdf94elvKdAzu2gqn3ZbynIZ4Ep3WAseLSA5gU0olZpY0MnUJxwvHCtMas06pluNyBBQVGIN3/zF9+yPvn5LQ+X+57XgyHDb6dcwLuz3DYeM/F40IfO5VkMO31x/NoDu+pMztbTLJMKN7twsstwpRtDkuQymXV3kCSR/ZLjsuhz1i/Rs/mU47S+4Zh1Iqpr/9vjMP4riH6x7Z8PLP6wMJLq/O2MDZw7vx7+9q3GlHPTSVDbtr+4yfvnA4Q7q1Dlp3zP99z/pJE+K67sY95RTkZmCzCX1NBb9pb0WMo+Ln+ncWhC1gduSDU/n78QcwYUhnPpq3hXNHdqd72/h6tnVh3GM1uR7v/HlMkAF09ZvzglySXp9iw+6ywAvPur7K4wuMhYFRGx4Mt5bDbuOm9wwX2ZuzN9VJztsnHMihlvs5lGE92jDluqNwOWxB7eXv5X93w9G8OnMDn87f2mg9pJgKXkSuC/kMsB+Yq5SanxyxGoaP529htsUCe+fPY/jtf2ZEOSIy/u6c9YbqlJ8ZeND3l1fXK1yxfV7d6sw8ecFwnpy6OkiupkLrEB98jsWCL3d7cNgkqOcRD/FU8bP6weuC1Spfvr2Euz9dypumzxYIq9yvP+EATjYzh+vK0q3FgReEzSZBNX0agmjVKR+dspJHp6wE4JulO/jq72Mj7lsfQieWaZ/n4sSBHfk6QrDBI9+s4Kmpa3jjstEc2DmfNuZv6x/7yrZkXvtrwldW+8hugOkHfj+mMGY1174RSmn7uejQnrWiyVJJPE/XCIx6NF3Nv8uBo4HnReSm5IlWf178aX3Q5+wMO19dG3zjhg6axQrfa2VxO3TKz2Sv6QKas2FPpEOSyjEDOvD+Xw5rdB9qOEJdJf6iYuVuD2VVXrIy7Ckpu3rCwI5ByViJYlXukbhoTM1DnOmM/ljtKXNTOHFyrRDFkkpP0MC0s571aDxeH7d9uIgNu8s477nahk33tuH93St2JK+T/s+Q4AYR4bnfjwha53d7Lt6yP+Avv+C/sxh2b01mdqAHaDFsXP6CY/UIlfS3ybAerRu8VHdjEM83aAcMV0pdr5S6HkPhtwfGApckUbZ6E5rg4rTb6N8pLyjSov/tX+Lx+liwaR/fLd/BwXd/TeHEyXy5eBtXvvEr1741D69PcVifdmTYbXS1DFq6LJN+RPMJnzy4EzePG8D0G48JWj+6V1um3nA0399wdP2/bBMkO6Sujd+CL3d7qXB7k9bryM90cmS/gkC88mkHd2HhXSdFnLikvpx2cJeg3srkvx0ZpDwLJ05m9jpjMpTFW/Yzz4y7Dw3VNRLpatrMWrQtFrd/tIj+lmqhu0qr6HvbF7w+ayNHPfQ9M9fWNkB6FySnPaLxwo/rYu5z5tM/UVntDWSKWvGPFSwx52aw3mP+F6s/GikvgZf60O6tsduEr689itG92nLHKQPjPrYpE08L9ACsfbtqoKdSqkJEmtSkpG6PjwWb9zGysC2PfL2i1nZ/duBFYwr5x8dLAuv73vZFrX2veK1mMObGcQPwKcXQkEFLl8MWiHKwRbFED+nZlkuP6AXAqQd34eBurejfKY/D+hQ0Scu7oQi1zo3Sv4YPfneZu9YgbENhswmvXjoagPNHdw9EF43p045VO0sZ07sdM9YGR1Y9d9EhXP7q3Dpd74i+wXH8fdrn8sNNxwbFer8yY30gRvt502K13jNKKcqqPEF1Z5z2+EsGvzazppdxz6dLefGn8Ir0sD7tAlFlz/3+EO75dCmvzwrfQ/F4fVz431lUeny8ffmhYY2YHcWVtMvJwBHD1eY1EwWtRMrvWLmjtFaUmJ8nvl3NmcO68seXje0lliAHl8NvwRttdmDn/ICLNi/TEQiUuPKYPjw1dQ0Hdc1n8ZZiMuw23v/LYSilcNhtvP3nMVG/S3MiHgX/BjBTRD42P58KvGkOusauYZtCJn2xnBd/Wsc7fx7DE9+tDqx/7dLRvP/rZnq2qxnVPrhbq4hp76HsLXPj8apaXTaXsyYsKrRbePbwbtw+4UDum7yM80Z2D6xPJGmpufL+X8awbldtP3UgtNTtZWdJJR3z6x9THAu/cge4fcJAzh/Vg97tc/jLa79iE5iyzMhaPHFQJ7q2zqoVQhgPithWtjUBZ/4mw4L/dvlOflhVxJH92lPl8eHxqaBB/Ay7BM3RGrieUigFC7fs58dVRUEDfFUeb0TlDvDGnw5l+soiehXk4HLYuf/MwawpKq1l4b83dzP9OuQGooiWbC3mkJ5tUEpRUe0lO8NBSWU1o//5Lb87tAf3nn4QHp8KJGiFcsO7C/jQEupqDesFyMmwByUt/bAqfIbto1NW8t8fano+1oJ2fh+8/1m0hiwuuONEbDahpLKaXJeDNtkZTBjSmVZZTgQxDa30M7biiaK5V0S+AA7HaIErlFL+1+uFyRQuUZZuMxR26EDqEf0KOCIkWzKaSyWU3WVu5mzYS892wZEFmQ47bo8xk/vu0ppOzsPnHMzZZhz3w79NTiH/pswhPdtySM/wk4FlZ9gpd3uoqvbF9FU3NBkOGweaSVUvXjKSsioPD321gsvHGqUavrluLHvLq3l95gae/n4Nfz/+gMDAYzQSnYjF71cGw9r+5rqjAuUrrDkQmRn2WpUzlVKMuG8KuyMMmPa//cuY1x97QHDF0HC9zxveDZ5l6OxnjGxff5nsH246JmDwvDZzI7PX7WHljlJW3DcuYElbsSr33u1zgpQ7wKuXjY47o9hqtVvHLEIteGtOhj/KzF9J9rIje8d1reZOXE4qpdQcEdmIMaMTItJDKRV75CmF+HwqrJ/xxIEdw+wNj583jGenrQnUlI7GxS8aibyh0RP+acKqPD62m8lML1w8IiibUxNMjstIDnN7fWSEUQSpluWu02rGY7IzHGRnOLhp3ACO7Nee0b3acs3x/XB7fDzx7SqenLo66PhjB3TgmAEdOHZAh7Dn79E2m417oqfgr9pZyobdZew0i1xZezX9O+YFDXhGCs+sL1ce05cZa3cTTyj8nZ8Yrs0jHwzOIVm5w5hc3T+Fnsfr45nv1zB+cOdavvCHfjOk1nmH92jDMxcO56Wf1gdKZ0fjtyO68c6czZw0qOZZc4X44N0eLyML23DdCf1jf7E0JZ5iY6eJyCpgHTDN/F/baR3+2HEiskJEVovIxPqJGplpK4vofWvtgl0Aj503NOz6Tq0yuW3CgWG3xUvAYqj2BaIdju4f/mHXGPgteLfHl3CIZCoZ06ddwOrLcNi44aT+LLjzRGbfehxnDe/KzFuO48VLRnLRoT0jRgLdF5JlG4mjHvo+EHd/SM82gfUFuS6KSqoCA4v1Ue5ZTjvTbjw67LbD+xaw7oEJDOvRus7n9zPkrq856qGpXPXGPB7+ZiXHPzKN0SGJfm1zwvd4xg/uzDtXBPu/l90zLuy+O0uq6NE2O6jtw7lourfNZkyfyLHs6U48T9i9wKHASqVUL+B44Kfoh4CI2IGngPHAQOB8EUnK0LTfwg5HdpRIDafdxiO/PZij+wd3WY/p355vrz8qqCgXQMf84BvTZ8b0bt1fgcersEl8c5a2ZHJcDoorPVR5fGQ4mldbtcpy0iE/k0d+OzSumiRjD2jPjFuOjevc/tBAa3Zxv465lFR62FFc91iGPx7ei7cuP5Rl944LGoMKx4d/PZyC3PoHkG/YXc6XS7ZH3N42Rp7CR1cejsMmzL7tuKD5ek8fWpMA9f2KIrJC3Kx+t2tltY/FW/azeW9F0EQ0LZF4FHy1Umo3YBMRm1JqKsak27EYBaxWSq1VSrmBt4DT6y5q4gyPwyI5a3g3Xv7DKGaa02Ud1DWfl/4wij7tc2v5Vh8+Z2jQZ38dkv/+sI5qry/iAJOmhrbZGewtc+P2eJu0Bd9QdG6Vxdp/nhy07pOrDuepC4YHrSt3e3HaJWgg3+/aiGcaunAVOYf3aM0dpw6Mmo0ZiickEemSwwrrPdm7lRtP6h8zJ2Fo99as/ufJAT/97NuOY+7tx/P4ecN48ZKamPnQydprEp28geiZZLi0mhPx+OD3iUguMB14XUR2El81ya6ANUd4MzA6cRGjE62GxvAebSJuC6VTq8xaKeWtszPo1iYrMBFDhxAL/roTD+APL/3C2AMKWLBpv1bwcdAqy0lxZTXlbi/ZLWQqOmsZiUV3nUheppMh3Vrz1i8FgWiRpduKa1mk/s8VIXN5Xn/CATz8Tc3g7+d/O5I2OU6+XrKD0b3b0rsglz1l7qA6LfFybP8OgcJuF4/pya0nH8iNJ/Xng3lb+HLxtlrTQibKlcf0jb1TCNYB2YO61FRBzQ9JpPNnue4oqaStOfgarR5TSyAejXQ6UA78HfgSWAOcEsdx4frftbSxiFwuInNEZE5RUVGYQ2JcRITXLwt+b5w1rCtnDO3CtSfUvzC/NRU59AH0Jz3ZbcKOksqgiTw04clw2NhXXo3Hp2rVqklnnrlwODee1D9oPuB+HWrqDrk9vlruRH9mZugkFv065vLJVYcHLNbubbPo3CqLiw8rZECnfDIcNjq1yozqnozEpLOH8P0NRzPvHydw9+kHkeGwkeNycNGhPXnt0tGcP6p70PM2ulf4aKlw+MtC1werUu8TMiFOfqaTvEwHO4urAu6acAO6LYl47oA7lFI3Az7gFQAR+Rdwc4zjNgPdLZ+7AbVKxSmlngOeAxgxYkSdStod3reAz64+IpD5Zq0PXl8ePudgDrnPKBzmCgnr8/vbvT6V8EQDLZUMS0nVlqTgx4epU3PjSf35fsVO1u4qY9a6PXQIqUeUFfApewPjPQAnDuyEzSYM6pLPrxv3NWhKfYbDRmFBeF+9iPDAWYbCXPfAyShl9E7++PIvgTlJh/VozZKtxYEQxQmDO5PptDdYuLA1vLlHmIJo+ZlOSipritklo2JqcyKeO+OEMOvGx3HcL0A/EeklIhkYs0B9kohwieCfIKOhaWfxP4Za8HapUfCa+HBZlFFLUvDhyMqwc/2JRgif16fYtj943oBMi4JftKUmKc/v8nnxkpG8+adDw8adJxux1DW/cLRR5vnnicfy4V8P5zUzi/j3Y3ry1IXDGzwX5L9mJnC4uQ6MjNXqmmJkrsYNxW1sIlrwIvIX4K9AbxGxTk2TRxxRNEopj4hcBXwF2IEXlVJLYhxWL8YN6sSy7Q1XPzuU0OQoqwXfv2MehQXJK7GaLmRoBR/Eul2lEbdlWaJCwk1I0To7o0mEAB53YMeg8atRvdoy5bqxMaN26srxAzvy/Q1H10o8BEPB+8d4wJhvoCUTzUXzBka8+wOANYa9RCkVV+lEpdTnQPgA9STw7EWHJPX8oYOofgX/yYKtTSJxpzmgFXww7ijFxPyZvhVuL51aGT3J2+uZu5Eq+nYIP69BQxHJjZSX6WRHcSXlbiNKK1aNnHQnmoK3A8UYMzoFISJt41Xy6Yy/DoY/EiKR6nUtlQMtA21awRuTjvu52FJyGCwuGo+Xaq9xbyUS8tgSaZOdwbJtxVS4PS3ePQPRFfxcaqJeQiNiFNAyijlgzJ4Ubuq10KSmhXEWL2vJFFq67d3axD//Zrpy2sFdeGyKMVvU6BDlbU3c8U/6nkgNpZZIh3wj+7e0ytvi3TMQRcGbWasa4OOrDg+UGrUSquCtmXaa8FgHqlMx2UdTxzoVXWhr+F00ldVe1pZVYZPwkSOaGjrmufD4FOt3l9VKhGqJxOWgMuvR/J/5F08MfFqRn+kMmujDT6iCmlDPKdtaAqmuINkcGH9Qp7DrM+w2bGIo+MpqH1lOe1rMMpRM2ppRb3M37NUvQ+IrNjYJuAaj9vtS4BoReSDZgjUHQlOuc1pIZmZ90C6G2viTsUM7NCJCptNOhdtLZbVXt10cWN0ybeo5N286EI85cDJwglLqRaXUi8A4IL5p4tMcEeH8UT0Cn7WCj41LW6C1OKCTEXHSPq92AbPsDAflpgWvFXxsrAOrLaHWUSzi1UitAX/UTHIyipopVoWVo31+MdF+99r87di+HNG3IKhUsJ9cl52yKg+llR7tU44Da3kG7c6KT8E/AMwTkakY40BjgVuSKlUzwnoTaQteUxccdhujItR0yc5wUFblYeOe8lq1VzS1sU7CrS346JmsTwJvKKXeFJHvgZEYCv5mpVTkYs8tDOtNlFOH4k4aTTRyzRmwKqq92oCIA2uUlrbgo1vwq4CHRaQz8DbwplJqfkqkakZYbyKdWBEfo3q1ZVgLL+MaL9kuO3vK3FS4vbVqIWlqY30JhpYTbolEi4N/HHhcRHpiFAp7SUQygTeBt5RSsWcjbgFYFbyuBx8f7/x5TOydNIChsDbtKaeiWiv4eLBOWt5aK/jYUTRKqQ1KqX8ppYYBFwBnAsuSLlkzQfv5NMkkJ8NOsVn+Nq+Fl76NB6vBNTzMoHVLI544eKeInCoir2MUH1sJnJ10yZoJOrJBk0x2llRRVGLMyaprHSWGNr6iD7KeAJyPEfM+G2NO1cuVUrWLsrRgdGamJpl8v6JmljPtU04MPcga3YK/FZgBHKiUOlUp9bpW7rXxT+6r0SSDm8cNCCxrCz4xdFJdFAWvlDpGKfW8LgscncP71p7NXqNpKEb3romP1wo+MbQFH2exMU1kRhXGP+mwRpMo1twKnWeRGLq9tIKvNy19xhhNcrFmZupaNIlhs+myGPoVV09Ca8JrNA1JsILXxkQ8fHb1EawpijzXbUtCK/h64rRrBa9JHtbMTG3Bx8dBXVtxUFddExG0i6beOGy6CTXJwxoJkqknddckiNZO9cShXTSaJGItr+zSLhpNgug7pp74B3KOHdChkSXRpDs6rluTKNoH3wDMuvU4WuksQ02S0ZOlaBJFK/gGoGN+7anWNBqNprHRfT6NRqNJU7QFr9E0cUYWtmFPmbuxxdA0Q7SC12iaOO9ecVhji6BppmgXjUaj0aQpWsFrNBpNmqIVvEaj0aQpopRqbBkCiEgRsKGOhxcAuxpQnIZCy5UYWq7E0HIlRjrK1VMp1T7chial4OuDiMxRSo1obDlC0XIlhpYrMbRcidHS5NIuGo1Go0lTtILXaDSaNCWdFPxzjS1ABLRciaHlSgwtV2K0KLnSxgev0Wg0mmDSyYLXaDQajYVmr+BFZJyIrBCR1SIyMcXX7i4iU0VkmYgsEZFrzPV3icgWEZlv/p1sOeYWU9YVInJSEmVbLyKLzOvPMde1FZFvRGSV+b9NKuUSkf6WNpkvIsUicm1jtJeIvCgiO0VksWVdwu0jIoeY7bxaRJ6Qetb0jSDXQyKyXEQWisiHItLaXF8oIhWWdns2WXJFkS3h3y5Fbfa2Rab1IjLfXJ+SNouiG1J7jymlmu0fYAfWAL2BDGABMDCF1+8MDDeX84CVwEDgLuCGMPsPNGV0Ab1M2e1Jkm09UBCy7kFgork8EfhXquUK+e22Az0bo72AscBwYHF92geYDYwBBPgCGJ8EuU4EHObyvyxyFVr3CzlPg8oVRbaEf7tUtFnI9oeBO1LZZkTWDSm9x5q7BT8KWK2UWquUcgNvAaen6uJKqW1KqV/N5RJgGdA1yiGnA28ppaqUUuuA1RjfIVWcDrxiLr8CnNGIch0HrFFKRUtsS5pcSqnpwJ4w14u7fUSkM5CvlJqhjCfxf5ZjGkwupdTXSimP+XEm0C3aOZIhVyTZotCobebHtHZ/C7wZ7RwNLVcU3ZDSe6y5K/iuwCbL581EV7BJQ0QKgWHALHPVVWaX+kVLNyyV8irgaxGZKyKXm+s6KqW2gXEDAv55BhujHc8j+KFr7PaCxNunq7mcKvkA/ohhxfnpJSLzRGSaiBxprku1XIn8dqmW7Uhgh1JqlWVdStssRDek9B5r7go+nC8q5WFBIpILvA9cq5QqBp4B+gBDgW0YXURIrbyHK6WGA+OBK0VkbJR9U9qOIpIBnAa8a65qCu0VjUhypLrdbgM8wOvmqm1AD6XUMOA64A0RyU+xXIn+dqn+Tc8n2JBIaZuF0Q0Rd41w/XrJ1dwV/Gagu+VzN2BrKgUQESfGD/i6UuoDAKXUDqWUVynlA56nxq2QMnmVUlvN/zuBD00ZdphdPn+XdGeq5TIZD/yqlNphytjo7WWSaPtsJthdkjT5RORi4BTgQrOrjtmd320uz8Xw2x6QSrnq8Nulss0cwFnA2xZ5U9Zm4XQDKb7HmruC/wXoJyK9TKvwPOCTVF3c9O+9ACxTSj1iWd/ZstuZgH90/xPgPBFxiUgvoB/GAEpDy5UjInn+ZYxBusXm9S82d7sY+DiVclkIsqoau70sJNQ+Zhe7REQONe+F31uOaTBEZBxwM3CaUqrcsr69iNjN5d6mXGtTJZd53YR+u1TKBhwPLFdKBVwcqWqzSLqBVN9jdR0lbip/wMkYI9RrgNtSfO0jMLpLC4H55t/JwKvAInP9J0BnyzG3mbKuoAEiGyLI1RtjRH4BsMTfLkA74Ftglfm/bSrlMq+TDewGWlnWpby9MF4w24BqDCvp0rq0DzACQ6mtAZ7ETB5sYLlWY/hn/ffYs+a+Z5u/7wLgV+DUZMkVRbaEf7tUtJm5/mXgipB9U9JmRNYNKb3HdCarRqPRpCnN3UWj0Wg0mghoBa/RaDRpilbwGo1Gk6ZoBa/RaDRpilbwGo1Gk6ZoBa/RaDRpilbwGo1Gk6ZoBa/RaDRpyv8DXgxt22D49/YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入原始信号\n",
    "\n",
    "from scipy.io import loadmat\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "ecgl = loadmat(\"ecgl.mat\")\n",
    "ecgnl = loadmat(\"ecgnl.mat\")\n",
    "\n",
    "t = len(ecgl['ecgl'])\n",
    "x = np.linspace(0, t, t)\n",
    "\n",
    "# 画图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(ecgl['ecgl'])\n",
    "fig.suptitle('ECG Signals with Trends')\n",
    "plt.ylabel('Voltage (mV)')\n",
    "\n",
    "ax2.plot(ecgnl['ecgnl'])\n",
    "plt.ylabel('Voltage (mV)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "645a4f6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 对两个信号去趋势\n",
    "\n",
    "from scipy.signal import detrend\n",
    "\n",
    "dt_ecgl = detrend(ecgl['ecgl'], axis =- 1, type='linear', bp=0, overwrite_data=False)\n",
    "dt_ecgnl = detrend(ecgnl['ecgnl'], axis =- 1, type='linear', bp=0, overwrite_data=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b2ccacf5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Voltage (mV)')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出去趋势后的信号\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(dt_ecgl)\n",
    "fig.suptitle('Detrended ECG Signals')\n",
    "plt.ylabel('Voltage (mV)')\n",
    "\n",
    "ax2.plot(dt_ecgnl)\n",
    "plt.ylabel('Voltage (mV)')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c657eba",
   "metadata": {},
   "source": [
    "这些趋势已有效地去除，可以看到与原始信号相比，信号的基线已不再偏移，它们现在可用于进一步处理。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
